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This study applies complexity sciences to analyze the game of Padel. Data from 18 professional matches were collected, and the probability distributions of the total number of shots and the probability distribution of rallies' duration were…

Physics and Society · Physics 2023-08-09 A. Chacoma , O. V. Billoni

In this article, we study the dynamics of marking in football matches. To do this, we surveyed and analyzed a database containing the trajectories of players from both teams on the field of play during three professional games. We describe…

Data Analysis, Statistics and Probability · Physics 2022-11-09 A. Chacoma , M. N. Kuperman , O. V. Billoni

The progression of a single point in volleyball starts with a serve and then alternates between teams, each team allowed up to three contacts with the ball. Using charted data from the 2022 NCAA Division I women's volleyball season (4,147…

Applications · Statistics 2025-06-09 Scott Powers , Luke Stancil , Naomi Consiglio

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

This research is intended to accomplish two goals: The first goal is to curate a large and information rich dataset that contains crucial and succinct summaries on the players' actions and positions and the back-and-forth travel patterns of…

Machine Learning · Computer Science 2024-05-17 Haotian Xia , Rhys Tracy , Yun Zhao , Erwan Fraisse , Yuan-Fang Wang , Linda Petzold

We consider two-person sports where each rally is initiated by a \emph{server}, the other player (the \emph{receiver}) becoming the server when he/she wins a rally. Historically, these sports used a scoring based on the \emph{side-out…

Probability · Mathematics 2011-12-02 Davy Paindaveine , Yvik Swan

We introduce a simple stochastic dynamics for game theory. It assumes ``local'' rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from…

Statistical Mechanics · Physics 2008-11-23 Matteo Marsili , Yi-Cheng Zhang

The objective of the present study is to present a computational model of the motion of a single athlete in a team and to compare the resulting trajectory with experimental data obtained in the field during competitions by match analysis…

Biological Physics · Physics 2008-11-25 E. Grimpampi , A. Pasculli , A. Sacripanti

Volleyball is a team sport with unique and specific characteristics. We introduce a new two level-hierarchical Bayesian model which accounts for theses volleyball specific characteristics. In the first level, we model the set outcome with a…

Applications · Statistics 2020-04-16 Leonardo Egidi , Ioannis Ntzoufras

We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability q<=1/2, and the stronger player wins with probability 1-q.…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , S. Redner , F. Vazquez

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

Social and Information Networks · Computer Science 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda

In this paper, we study collective interaction dynamics emerging in the game of football-soccer. To do so, we surveyed a database containing body-sensors traces measured during three professional football matches, where we observed…

Physics and Society · Physics 2021-08-18 A. Chacoma , N. Almeira , J. I. Perotti , O. V. Billoni

In this article, we study the decision-making process of chess players by using a chess engine to evaluate the moves across different pools of games. We quantified the decisiveness of each move during the games using a metric derived from…

Physics and Society · Physics 2025-06-13 A. Chacoma , O. V. Billoni

Despite growing interest in quantifying and modeling the scoring dynamics within professional sports games, relative little is known about what patterns or principles, if any, cut across different sports. Using a comprehensive data set of…

Applications · Statistics 2014-03-24 Sears Merritt , Aaron Clauset

Simple games cover voting systems in which a single alternative, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set of rules that specifies exactly which collections of ``yea''…

Computer Science and Game Theory · Computer Science 2008-03-05 Josep Freixas , Xavier Molinero , Martin Olsen , Maria Serna

The relationship between topology and dynamics of complex systems has motivated continuing interest from the scientific community. In the present work, we address this interesting topic from the perspective of simple games, involving two…

Social and Information Networks · Computer Science 2024-06-25 Alexandre Benatti , Luciano da F. Costa

Random walks are powerful tools to analyze spatial-temporal patterns produced by living organisms ranging from cells to humans. At the same time, it is evident that these patterns are not completely random but are results of a convolution…

Statistical Mechanics · Physics 2021-12-08 M. I. Krivonosov , S. N. Tikhomirov , S. Denisov

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

Computer Science and Game Theory · Computer Science 2026-02-04 Melih İşeri , Erhan Bayraktar

The aim of this paper is to study and develop Bayesian models for the analysis of volleyball match outcomes as recorded by the set-difference. Due to the peculiarity of the outcome variable (set-difference) which takes discrete values from…

Applications · Statistics 2021-06-23 Ioannis Ntzoufras , Vasilis Palaskas , Sotiris Drikos

Activity recognition in sport is an attractive field for computer vision research. Game, player and team analysis are of great interest and research topics within this field emerge with the goal of automated analysis. The very specific…

Computer Vision and Pattern Recognition · Computer Science 2014-04-28 Georg Waltner , Thomas Mauthner , Horst Bischof
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